Finding the Third Proportional to 72,576 and 109,958

Step by Step Solution

1. Step 1: Write the proportion equation
   72,576 : 109,958 = 109,958 : x
2. Step 2: Convert to fraction form
   72,576/109,958 = 109,958/x
3. Step 3: Cross multiply
   72,576x = 109,958 × 109,958
4. Step 4: Simplify right side
   72,576x = 12,090,761,764
5. Step 5: Solve for x
   x = 12,090,761,764/72,576
6. Step 6: Final answer
   x = 166,594.49